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GATE ECE 2014 Set 3
Numerical
+2
-0
In the circuit shown in the figure, the angular frequency $$\omega$$ (in rad/s), at which the Norton equivalent impedance as seen from terminals b-b' is purely resistive, is _______.
GATE ECE 2014 Set 3 Network Theory - Network Theorems Question 11 English
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2
GATE ECE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
A series RC circuit is connected to a DC voltage source at time t = 0. The relation between the source voltage VS, the resistance R, the capacitance C, and the current i(t) is given below: $$$V_{s\;}=\;Ri(t)+\frac1c\int_0^ti(u)du$$$ Which one of the following represents the current f(t)?
A
GATE ECE 2014 Set 3 Network Theory - Transient Response Question 39 English Option 1
B
GATE ECE 2014 Set 3 Network Theory - Transient Response Question 39 English Option 2
C
GATE ECE 2014 Set 3 Network Theory - Transient Response Question 39 English Option 3
D
GATE ECE 2014 Set 3 Network Theory - Transient Response Question 39 English Option 4
3
GATE ECE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Consider the building block called 'Network N' shown in the figure.
Let $$C = 100\,\mu F\,\,$$ and $$R = 10\,k\Omega $$. GATE ECE 2014 Set 3 Network Theory - Sinusoidal Steady State Response Question 22 English 1

Two such blocks are connected in cascade, as shown in the figure.

GATE ECE 2014 Set 3 Network Theory - Sinusoidal Steady State Response Question 22 English 2

The transfer function $${{{V_3}\left( s \right)} \over {{V_1}\left( s \right)}}$$ of the cascaded network is

A
$${s \over {1 + s}}$$
B
$${{{s^2}} \over {1 + 3s + {s^2}}}$$
C
$${\left( {{s \over {1 + s}}} \right)^2}$$
D
$${{s \over {2 + s}}}$$
4
GATE ECE 2014 Set 3
Numerical
+1
-0
The input $$ - 3{e^{2t}}\,\,u\left( t \right)$$, where u(t) is the unit step function$$\, {{s - 2} \over {s + 3}}$$. If the initial value of the output is -2, then the value of the output at steady state is _____.
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